液滴形状からの逆関数としての表面張力評価式

概要

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A function which represents the surface tension of a liquid based on the configuration of a droplet is obtained theoretically. Behavior of a droplet of liquid is governed by a nonlinear differential equation which can be solved numerically by setting its initial condition and surface tension. In order to solve the inverse problem of this equation, a formal solution is suggested as a series function, and a norm on the function space of droplet configurations is defined. Under the measure of this norm, a sequence of coefficients of the formal solution is determined from the observed droplet configuration. The inverse function of which variables are the sequence of coefficients that represents a drop configuration is obtained by using potential theory on the basis of the analytical representation of droplet configuration. It is also shown that convergence of the inverse function of finite series is sufficiently good for practical use.
一般社団法人日本機械学会の論文
1996-06-25